Assignment question, root, Intermediate Value Theorem

[kuttaman]

Homework Statement

Prove that Prove that the equation has at least one positive real root, using the Intermediate Value Theorem on an appropriate function.

3 arctan(2x-1)=cos^2(x-(∏/6)) + 1

Homework Equations

No clue

The Attempt at a Solution

I honestly speaking have no clue how to even start on this question, I have studied the text but my brain right now is just no functioning. I recently got diagnosed with ADHD and recentlyu started the medication (2days ago) so my head is a little sluggish and fatigued. Math is a bit of a thinking game, and this question is very detrimental for me to get. If someone can answer this/ or help me answer this it would be highly appreciated.

 

[SammyS]

Homework Statement

Prove that Prove that the equation has at least one positive real root, using the Intermediate Value Theorem on an appropriate function.

3 arctan(2x-1)=cos^2(x-(∏/6)) + 1

Homework Equations

No clue

The Attempt at a Solution

I honestly speaking have no clue how to even start on this question, I have studied the text but my brain right now is just not functioning. I recently got diagnosed with ADHD and recently started the medication (2days ago) so my head is a little sluggish and fatigued. Math is a bit of a thinking game, and this question is very detrimental for me to get. If someone can answer this/ or help me answer this it would be highly appreciated.

What does the Intermediate Value Theorem state ?